The 8th question in the image 1. In the turbine of a gas turbine unit the gases flow through the turbine at 17 kg/s and the power developedby the turbine is 14000 kW. The enthalpies of the gases at inlet and outlet are 1200 kJ/kg and 360 kJ/kgrespectively, and the velocities of the gases at inlet and outlet are 60 m/s and 150 m/s respectively.Calculate the rate at which the heat is rejected from the turbine. Find also the area of the inlet pipe giventhat the specific volume of the gases at inlet is 0.5 m'/kg.2. Air flows steadily at the rate of 0.4 kg/s through an air compressor entering at 6 m/s with a pressure of1 bar and a specific volume of 0.85 m/kg, and leaving at 4.5 m/s with a pressure of 6.9 bar and aspecific volume of a 0.16 m/kg. The internal energy of air leaving isof the air entering. Cooling water in a jacket surrounding the cylinder absorbs heat from the air at therate of 59 kJ/s. Calculate the power required to drive the compressor and the inlet and outlet pipe crosssectional areas.88 kJ/kg greater than that3. A turbine operating under steady flow conditions receives steam at the following state. Pressure 13.8bar, specific volume 0.143 m/kg, i.e., 2590 k.J/kg, velocity 30 m/s. The state of the steam leaving theturbine is pressure 0.35 bar, specific volume 4.37 m/kg, i.e., 2360 kJ/kg, velocity 90 m/s. Heat is lostto the surroundings at the rate of 0.25 kJ/s. If the rate of steam flow is 0.38 kg/s, what is the powerdeveloped by the turbine? (102.8 kW).A. At the inlet to a certain nozzle the enthalpy of the fluid is 3025 kJ/kg and the velocity is 60 m/s. At theexit from the nozzle the enthalpy is 2790 kJ/kg. The nozzle is horizontal and there is negligible heatloss from it. i) Find the velocity at the nozzle exit. ii) If the inlet area is 0.1 m² and specific volume atinlet is 0.19 m'/kg, find the rate of flow of fluid. iii) If the specific volume at the nozzle exit is 0.5m/kg, find the exit area of the nozzle.In a steam power plant 1.5 kg of water is supplied per second to the boiler. The enthalpy and velocityof water entering the boiler are 800 kJ/kg and 10 m/s. Heat at the rate of 2200 kJ/kg of water is suppliedto the water. The steam after passing through the turbine comes out with a velocity of 50 m/s andenthalpy of 2520KJ/kg. The boiler inlet is Sm above the turbine exit. The heat loss from the boiler is1800 kJ/m and from the turbine 600 kJ/min. determine the power capacity of the turbine, consideringboiler and turbine as single unit.6. A centrifugal air compressor used in gas turbine receives air at 100 KPa and 300 K and it dischargesair at 400 KPa and 500 K. The velocity of air leaving the compressor is 100 m/s. Neglecting the velocityat the entry of the compressor, determine the power required to drive the compressor if the mass flowrate is 15 kg/sec. Take C,(air) =1 kJ/kgK, and assume that there is no heat transfer from the compressorto the surroundings.7. In a water cooled compressor 0.5 kg of air is compressed/sec. A shaft input of 60 kW is required to runthe compressor. Heat lost to the cooling water is 30% of input and 10% of the input is lost in bearingsand other frictional effects. Air enters the compressor at 1 bar and 20°C. Neglecting the changes in KE& PE, determine the exit air temperature. Take Cp= IkJ/kg'C air.8 A petrol engine develops 50 kW brake power. The fuel and air flow rates are 10 kg and 107 kg/hr. Thetemperature of fuel air mixture entering the engine is 20°C and temperature of gases leaving the engineis 500°C. The heat transfer rate from the engine to the cooling water circulated is 50kJ/s and that to thesurroundings 10 kJ/s. Evaluate the increase in the specific enthalpy of the mixture as it flows throughthe engine.

Given DataP=50kWm˙=10+107kg/h=0.0325kg/sT1=20°CT2=500°CHeat transfer…

8 A petrol engine develops 50 kW brake power. The fuel and air flow rates are 10 kg and 107 kg/hr. The temperature of fuel air mixture entering the engine is 20°C and temperature of gases leaving the engine is 500°C. The heat transfer rate from the engine to the cooling water circulated is 50KJ/s and that to the surroundings 10 kJ/s. Evaluate the increase in the specific enthalpy of the mixture as it flows through the engine.

8 A petrol engine develops 50 kW brake power. The fuel and air flow rates are 10 kg and 107 kg/hr. The temperature of fuel air mixture entering the engine is 20°C and temperature of gases leaving the engine is 500°C. The heat transfer rate from the engine to the cooling water circulated is 50KJ/s and that to the surroundings 10 kJ/s. Evaluate the increase in the specific enthalpy of the mixture as it flows through the engine.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The 8th question in the image

1. In the turbine of a gas turbine unit the gases flow through the turbine at 17 kg/s and the power developed
by the turbine is 14000 kW. The enthalpies of the gases at inlet and outlet are 1200 kJ/kg and 360 kJ/kg
respectively, and the velocities of the gases at inlet and outlet are 60 m/s and 150 m/s respectively.
Calculate the rate at which the heat is rejected from the turbine. Find also the area of the inlet pipe given
that the specific volume of the gases at inlet is 0.5 m'/kg.
2. Air flows steadily at the rate of 0.4 kg/s through an air compressor entering at 6 m/s with a pressure of
1 bar and a specific volume of 0.85 m/kg, and leaving at 4.5 m/s with a pressure of 6.9 bar and a
specific volume of a 0.16 m/kg. The internal energy of air leaving is
of the air entering. Cooling water in a jacket surrounding the cylinder absorbs heat from the air at the
rate of 59 kJ/s. Calculate the power required to drive the compressor and the inlet and outlet pipe cross
sectional areas.
88 kJ/kg greater than that
3. A turbine operating under steady flow conditions receives steam at the following state. Pressure 13.8
bar, specific volume 0.143 m/kg, i.e., 2590 k.J/kg, velocity 30 m/s. The state of the steam leaving the
turbine is pressure 0.35 bar, specific volume 4.37 m/kg, i.e., 2360 kJ/kg, velocity 90 m/s. Heat is lost
to the surroundings at the rate of 0.25 kJ/s. If the rate of steam flow is 0.38 kg/s, what is the power
developed by the turbine? (102.8 kW).
A. At the inlet to a certain nozzle the enthalpy of the fluid is 3025 kJ/kg and the velocity is 60 m/s. At the
exit from the nozzle the enthalpy is 2790 kJ/kg. The nozzle is horizontal and there is negligible heat
loss from it. i) Find the velocity at the nozzle exit. ii) If the inlet area is 0.1 m² and specific volume at
inlet is 0.19 m'/kg, find the rate of flow of fluid. iii) If the specific volume at the nozzle exit is 0.5
m/kg, find the exit area of the nozzle.
In a steam power plant 1.5 kg of water is supplied per second to the boiler. The enthalpy and velocity
of water entering the boiler are 800 kJ/kg and 10 m/s. Heat at the rate of 2200 kJ/kg of water is supplied
to the water. The steam after passing through the turbine comes out with a velocity of 50 m/s and
enthalpy of 2520KJ/kg. The boiler inlet is Sm above the turbine exit. The heat loss from the boiler is
1800 kJ/m and from the turbine 600 kJ/min. determine the power capacity of the turbine, considering
boiler and turbine as single unit.
6. A centrifugal air compressor used in gas turbine receives air at 100 KPa and 300 K and it discharges
air at 400 KPa and 500 K. The velocity of air leaving the compressor is 100 m/s. Neglecting the velocity
at the entry of the compressor, determine the power required to drive the compressor if the mass flow
rate is 15 kg/sec. Take C,(air) =1 kJ/kgK, and assume that there is no heat transfer from the compressor
to the surroundings.
7. In a water cooled compressor 0.5 kg of air is compressed/sec. A shaft input of 60 kW is required to run
the compressor. Heat lost to the cooling water is 30% of input and 10% of the input is lost in bearings
and other frictional effects. Air enters the compressor at 1 bar and 20°C. Neglecting the changes in KE
& PE, determine the exit air temperature. Take Cp= IkJ/kg'C air.
8 A petrol engine develops 50 kW brake power. The fuel and air flow rates are 10 kg and 107 kg/hr. The
temperature of fuel air mixture entering the engine is 20°C and temperature of gases leaving the engine
is 500°C. The heat transfer rate from the engine to the cooling water circulated is 50kJ/s and that to the
surroundings 10 kJ/s. Evaluate the increase in the specific enthalpy of the mixture as it flows through
the engine.

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